Solving trigonometric equations using double-angle identities

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Now Playing:Solve trig equations using double angle identities – Example 1a

Utilizing "Double-Angle Identities" to solve:
1. $\cos 2x = 2 \sin^2x$
  $0 \leq x$ < $2\pi$
2. $\tan x - \cot x = 2$
  $0 \leq x$ < $2\pi$

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